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2006106036 = 22311101150473
BaseRepresentation
bin111011110010010…
…1011111110110100
312011210211202010120
41313210223332310
513102030343121
6531021451540
7100466422434
oct16744537664
95153752116
102006106036
1193a438180
1247ba10bb0
1325c8046bc
141506082c4
15bb1bbbc6
hex7792bfb4

2006106036 has 48 divisors (see below), whose sum is σ = 5157044928. Its totient is φ = 601888000.

The previous prime is 2006106017. The next prime is 2006106041. The reversal of 2006106036 is 6306016002.

It is a super-2 number, since 2×20061060362 = 8048922855351266592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2006105997 and 2006106015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61905 + ... + 88568.

It is an arithmetic number, because the mean of its divisors is an integer number (107438436).

Almost surely, 22006106036 is an apocalyptic number.

It is an amenable number.

2006106036 is an abundant number, since it is smaller than the sum of its proper divisors (3150938892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006106036 is a wasteful number, since it uses less digits than its factorization.

2006106036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150592 (or 150590 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2006106036 is about 44789.5750817085. The cubic root of 2006106036 is about 1261.2019344713.

The spelling of 2006106036 in words is "two billion, six million, one hundred six thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 150473 300946 451419 601892 902838 1655203 1805676 3310406 4965609 6620812 9931218 15197773 19862436 30395546 45593319 60791092 91186638 167175503 182373276 334351006 501526509 668702012 1003053018 2006106036